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Chapter 5 Quiz

Total questions: 6

Worksheet time: 8mins

Name
Class
Date
1.

Solve  3 tan x2+33\ \tan\ \frac{x}{2}+3  

a)

 x2=3π4+nπ\frac{x}{2}=\frac{3\pi}{4}+n\pi  

b)

 x=3π2+πnx=\frac{3\pi}{2}+\pi n  

c)

 x=3π2+2nπx=\frac{3\pi}{2}+2n\pi  

d)

 tan  x2=1\tan\ \ \frac{x}{2}=-1  

2.

Verify that sin(x+h)sinxh=(cosx)(sin hh)(sinx)(1cos hh)\frac{\sin\left(x+h\right)-\sin x}{h}=\left(\cos x\right)\left(\frac{\sin\ h}{h}\right)-\left(\sin x\right)\left(\frac{1-\cos\ h}{h}\right) 

a)

True

b)

False

c)

I am not sure

d)

The answer is 1

3.

Use the Unit Circle to determine the exact value of:

 1sin230°sin260°1-\sin^230\degree-\sin^260\degree  

a)

 14\frac{1}{4}  

b)

 132\frac{1-\sqrt{3}}{2}  

c)

 00  

d)

 11  

4.

Which of the following are equivalent to cos2u?

a)

 cos2usin2u\cos^2u-\sin^2u  

b)

 2cos2u12\cos^2u-1  

c)

 12sin2u1-2\sin^2u  

d)

 1sin2u1-\sin^2u  

e)

 sin2ucos2u\sin^2u-\cos^2u  

5.

 1cosusinu=\frac{1-\cos u}{\sin u}=  

(a)  

6.

Rewrite the expression as a sum or difference:  cos2y sin 5y\cos2y\ \cdot\sin\ 5y  

a)

 12sin7y+12sin3y\frac{1}{2}\sin7y+\frac{1}{2}\sin3y  

b)

 12sin7y+sin3y\frac{1}{2}\sin7y+\sin3y  

c)

 12sin7y12sin3y\frac{1}{2}\sin7y-\frac{1}{2}\sin3y  

d)

 12sin7ysin3y\frac{1}{2}\sin7y-\sin3y